Averages and Range  Level 6Test your understanding of averages with this self marking quiz about mean, median and range. 
This is level 6; Mean, median, mode and range from a grouped frequency table. You can earn a trophy if you get at least 9 questions correct.
Give the answers to questions marked with an asterisk (*) to three significant figures.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." 
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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: 
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Level 1  Mean from a list
Level 2  Range and mode from a list
Level 3  Median from a list
Level 4  Mixed 'wordy' questions
Level 5  Mean, median, mode and range from a frequency table
Level 6  Mean, median, mode and range from a grouped frequency table
Level 7  Mean, median, mode and range from a bar chart
More Averages A wide range of interactive activities, puzzles, lesson starters and videos about mode, median, mean and range.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
To find the mean of a set of values add them together then divide by the number of values.
Example: find the mean of 8,9,10: 8+9+10=27, 27÷3=9: The mean is 9
To find the median of a set of values arrange them in order then choose the middle value. If their are two middle values select the answer that is half way between those values.
Example: find the median of 4,12,7,6: In order 4,6,7,12: (6+7)÷2: The median is 6.5
A formula for finding which is the middle value if there are N values is (N+1)/2. You can see why there is an 'add one' here.
The mode of a set of values is the value that occurs most times.
Example: find the mode of 2,4,4,1: The mode is 4.
The range of a set of values is the smallest value subtracted from the largest.
Example: find the range of 2,4,4,1: 41=3: The range is 3.
More Averages activities.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
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Isabella,
Wednesday, April 26, 2017
"The formula for finding the median is a on N items is (N+1)/2. Why is there a 'plus one' in that formula?
[Transum: Good question Isabella. The answer is here.]"
Gabriel Simamora, Harlaw Academy (Scotland)
Friday, February 19, 2021
"How do you answer question 10 to level one?
Thanks.
[Transum: Clue, let the age of the youngest person in the queue be x.]"
Transum,
Saturday, October 2, 2021
"If the average of a, b, c and d are a, what is the average of b, c and d?"